Domain of rational function with radical in the denominator

The video tutorial explores the concept of function definition, focusing on whether a function is undefined for any values. It discusses setting up inequalities to ensure the function remains defined, particularly avoiding values that make the denominator zero. The tutorial also covers the domain of the function, emphasizing that it includes all numbers greater than one, and explains how to represent this on a graph using parentheses to indicate the range from zero to infinity.

What is the function F(x) = sqrt(3) defined for?

• Only positive values of x

• Only integer values of x

• Only negative values of x

• All values of x

Why is it important to ensure the denominator is not zero in a function?

• To make the function continuous

• To avoid undefined values

• To ensure the function is linear

• To simplify the function

What must be true for a radical expression in a function?

• It must be less than zero

• It must be equal to zero

• It must be greater than or equal to zero

• It must be a whole number

Why must x be greater than one in the given function?

• To ensure the function is decreasing

• To make the function periodic

• To avoid undefined terms

• To ensure the function is increasing

How is the domain of the function represented?

• Using parentheses

• Using square brackets

• Using brackets

• Using curly braces